kkbisht
Last Activity: 6 Years ago
Equation of normal at P (t2,2t) ( a parametric coordinate of a parabola y2=4x with vertex at origin) is given by y +tx=2t+t3 Now this normal meets the axis of parabola ( Y=0 ) at 0+tx=2t+t3 => x=2+t2 ( cancelling t) .This is the point g i.e. og=2+t2 and the ordinate of the point P is 2t and the x-cordinte is t2 i.e on=t2 ( o is the origin as well as vertex of the parabola) therefore ng=og-on=2+t2-t2=2
therefore the length ng=2
kkbisht
